Physics · Central Force
A particle of mass m having a non-zero angular momentum of magnitude ℓ is subject to a central force potential V(r) = k ln(r), where k is a positive constant. What is the radius R at which it will have a circular orbit, and will the circular orbit be stable or unstable?
- 1R = ℓ√(2km), unstable orbit
- 2R = ℓ√(2km), stable orbit
- 3R = ℓ√(km), unstable orbit
- 4R = ℓ√(km), stable orbit✓
Correct answer
R = ℓ√(km), stable orbit
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